Handbook on Navier-Stokes Equations: Theory and Applied Analysis

Denise Campos (Editor)

Series: Physics Research and Technology
BISAC: SCI055000

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Navier–Stokes equations describe the motion of fluids; they arise from applying Newton’s second law of motion to a continuous function that represents fluid flow. If we apply the assumption that stress in the fluid is the sum of a pressure term and a diffusing viscous term, which is proportional to the gradient of velocity, we arrive at a set of equations that describe viscous flow. This handbook provides new research on the theories and applied analysis of Navier-Stokes Equations. (Imprint: Nova)

Preface

Chapter 1. Generation of Meshes in Cardiovascular Systems I: Resolution of the Navier-Stokes Equations for the Blood Flow in Abdominal Aortic Aneurysms
Alejandro Acevedo-Malavé (Multidisciplinary Center of Sciences, Venezuelan Institute for Scientific Research (IVIC), Mérida, Venezuela)

Chapter 2. Generation of Meshes in Cardiovascular Systems II: The Blood Flow in Abdominal Aortic Aneurysms with Exovascular Stent Devices
Alejandro Acevedo-Malavé (Multidisciplinary Center of Sciences, Venezuelan Institute for Scientific Research (IVIC), Mérida, Venezuela)

Chapter 3. A Computational Fluid Dynamics (CFD) Study of the Blood Flow in Abdominal Aortic Aneurysms for Real Geometries in Specific Patients
Alejandro Acevedo-Malavé, Ricardo Fontes-Carvalho and Nelson Loaiza (Multidisciplinary Center of Sciences, Venezuelan Institute for Scientific Research (IVIC), Mérida, Venezuela, and others)

Chapter 4. Numerical Resolution of the Navier-Stokes Equations for the Blood Flow in Intracranial Aneurysms: A 3D approach using the Finite Volume Method
Alejandro Acevedo-Malavé (Multidisciplinary Center of Sciences, Venezuelan Institute for Scientific Research (IVIC), Mérida, Venezuela)

Chapter 5. Numerical Simulation of the Turbulent Flow around a Savonius Wind Rotor using the Navier-Stokes Equations
S. Frikha, Z. Driss, H. Kchaou and M.S. Abid (Laboratory of Electro-Mechanic Systems (LASEM), National Engineering School of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia)

Chapter 6. Numerical Prediction of the Effect of the Diameter Outlet on the Mixer Flow of the Diesel with the Biodiesel
Mariem Lajnef, Zied Driss, Mohamed Chtourou, Dorra Driss, and Hedi Kchaou (Laboratory of Electro-Mechanic Systems (LASEM), National School of Engineers of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia)

Chapter 7. Computer Simulation of the Turbulent Flow around a Six-Blade Rushton Turbine
Zied Driss, Abdelkader Salah, Abdessalem Hichri, Sarhan Karray, and Mohamed Salah Abid (Laboratory of Electro-Mechanic Systems (LASEM), National School of Engineers of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia)

Chapter 8. Study of the Meshing Choice of a Negatively Buoyant Jet Injected in a Miscible Liquid
Oumaima Eleuch, Noureddine Latrache, Sobhi Frikha, and Zied Driss (Laboratory of Electro-Mechanic Systems (LASEM), National School of Engineers of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia, and others)

Chapter 9. Study of the Wedging Angle Effect of a NACA2415 Airfoil Wind Turbine
Zied Driss, Walid Barhoumi, Tarek Chelbi, and Mohamed Salah Abid (Laboratory of Electro-Mechanic Systems (LASEM), National School of Engineers of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia)

Chapter 10. Study of the Meshing Effect on the Flow Characteristics Inside a SCPP
Ahmed Ayadi, Abdallah Bouabidi, Zied Driss and Mohamed Salah Abid (Laboratory of Electro-Mechanic Systems (LASEM), National Engineering School of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia)

Chapter 11. Study of the Natural Ventilation in a Residential Living Room Opening with Two No-Opposed Positions
Slah Driss, Zied Driss, Imen Kallel Kammoun (Laboratory of Electro-Mechanic Systems (LASEM), National School of Engineers of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia)

Chapter 12. Existence, Uniqueness and Smoothness of a Solution for 3D Navier-Stokes Equations with any Smooth Initial Velocity. A Priori Estimate of this Solution
Arkadiy Tsionskiy and Mikhail Tsionskiy (Tucson, AZ, USA, and others)

Chapter 13. Fuzzy Solutions of 2D Navier-Stokes Equations
Yung-Yue Chen (Department of Systems and Naval Mechatronic Engineering, National Cheng Kung University, Tainan, Taiwan)

Chapter 14. Effective Wall-Laws for Stokes Equations over Curved Rough Boundaries
Myong-Hwan Ri (Institute of Mathematics, State Academy of Sciences, DPR Korea)

Chapter 15. Singularities of the Navier-Stokes Equations in Differential Form at the Interface between Air and Water
Xianyun Wen (Institute for Climate and Atmospheric Science, School of Earth and Environment, University of Leeds, Leeds, England, UK)

Chapter 16. Self-Similar Analysis of Various Navier-Stokes Equations in Two or Three Dimensions
I. F. Barna (Wigner Research Center of the Hungarian Academy of Sciences, Plasma Physics Department, Budapest, Hungary)

Chapter 17. Asymptotic Solutions for the Navier-Stokes Equations, Describing Systems of Vortices with Different Spatial Structures
Victor P. Maslov and Andrei I. Shafarevich (M. V. Lomonosov Moscow State University, Moscow, Russia)

Chapter 18. Analytic Solutions of Incompressible Navier–Stokes Equations by Green’s Function Method
Algirdas Maknickas and Algis Dziugys (Institute of Mechanical Science, Vilnius Gediminas Technical University, Vilnius, Lithuania, and others)

Chapter 19. Analysis of the Time Step Size Effect for the Study of the Liquid Sloshing Inside a Container
Abdallah Bouabidi, Zied Driss and Mohamed Salah Abid (Laboratory of Electro-Mechanic Systems (LASEM), National Engineering School of Sfax (ENIS), University of Sfax (US), Sfax, Tunisia)

Chapter 20. Numerical Analysis of Navier–Stokes Equations on Unstructured Meshes
K. Volkov (Faculty of Science, Engineering and Computing, Kingston University, London, UK, and others)

Chapter 21. Integrals of Motion of an Incompressible Medium Flow. From Classic to Contemporary
Alexander V. Koptev (Admiral Makarov State University of Maritime and Inland Shipping, Saint-Petersburg, Russia)

Chapter 22. Local Exact Controllability of the Boussinesq Equations with Boundary Conditions on the Pressure
Tujin Kim and Daomin Cao (Institute of Mathematics, State Academy of Sciences, Pyongyang, DPR Korea, and others)

Index

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